Football Poisson Calculator
xG-Based Match Probability & Fair Odds Engine
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INPUT EXPECTED GOALS (XG)
Advanced Options
Model uses an enhanced Poisson for football: slightly higher draw probability and favorite outcomes.
PREDICTION SNAPSHOT
Home Win
45.38%
Fair Odds
2.2
Draw
27.7%
Fair Odds
3.61
Away Win
26.92%
Fair Odds
3.71
Most Likely Score
1 - 1
Probability 12.44%
Fair Odds 8.04
Match odds & output
FAIR ODDS COMPARISON
| Market | Market Odds | Fair Odds ? Model-calculated fair price based on probability. | Edge ? Difference between bookmaker odds and model fair odds. Positive edge indicates potential value. |
|---|---|---|---|
| Home Win | 2.2 | — | |
| Draw | 3.61 | — | |
| Away Win | 3.71 | — |
Find Value Opportunities
Compare model fair odds with bookmaker prices to spot positive EV bets.
See Value Bets →
Correct Score Probability & Fair Odds
| # | Correct Score | Prob | Odds |
|---|---|---|---|
| 1 | 1-1 | 12.44% | 8.04 |
| 2 | 1-0 | 11.51% | 8.68 |
| 3 | 2-1 | 9.08% | 11.02 |
| 4 | 0-1 | 8.52% | 11.74 |
| 5 | 2-0 | 8.41% | 11.9 |
| 6 | 0-0 | 7.89% | 12.68 |
| 7 | 1-2 | 6.72% | 14.89 |
| 8 | 2-2 | 4.9% | 20.4 |
| 9 | 0-2 | 4.6% | 21.74 |
| 10 | 3-1 | 4.42% | 22.63 |
SCORE MATRIX
Home Goals ↓ · Away Goals →
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 |
7.89%
12.68
|
8.52%
11.74
|
4.6%
21.74
|
1.66%
60.39
|
0.45%
223.66
|
0.1%
1035.2
|
| 1 |
11.51%
8.68
|
12.44%
8.04
|
6.72%
14.89
|
2.42%
41.37
|
0.65%
153.21
|
0.14%
709.22
|
| 2 |
8.41%
11.9
|
9.08%
11.02
|
4.9%
20.4
|
1.76%
56.66
|
0.48%
209.86
|
0.1%
971.82
|
| 3 |
4.09%
24.45
|
4.42%
22.63
|
2.39%
41.92
|
0.86%
116.43
|
0.23%
431.22
|
0.05%
1996.01
|
| 4 |
1.49%
66.97
|
1.61%
62.01
|
0.87%
114.84
|
0.31%
318.98
|
0.08%
1182.03
|
0.02%
5464.48
|
| 5 |
0.44%
229.36
|
0.47%
212.36
|
0.25%
393.24
|
0.09%
1092.9
|
0.02%
4048.58
|
0.01%
18867.92
|
Any other score (6+ goals either side)
0.48%
·
Fair:
208.64
INDIVIDUAL TEAM TOTAL GOALS
Home Team
| Over | Under | |
|---|---|---|
| 0.5 | 76.78% | 23.22% |
| 1.5 | 42.87% | 57.13% |
| 2.5 | 18.12% | 81.88% |
| 3.5 | 6.07% | 93.93% |
| 4.5 | 1.68% | 98.32% |
Away Team
| Over | Under | |
|---|---|---|
| 0.5 | 66.04% | 33.96% |
| 1.5 | 29.36% | 70.64% |
| 2.5 | 9.56% | 90.44% |
| 3.5 | 2.43% | 97.57% |
| 4.5 | 0.5% | 99.5% |
TOTAL GOALS IN MATCH
| Goals | Prob | Odds |
|---|---|---|
| 0 | 7.89% | 12.68 |
| 1 | 20.03% | 4.99 |
| 2 | 25.44% | 3.93 |
| 3 | 21.54% | 4.64 |
| 4 | 13.68% | 7.31 |
| 5+ | 11.42% | 8.75 |
|
Over 2.5 46.64%
Under 2.5 53.36%
|
||
KEY MARKET PROBABILITIES
1X2
Home Win
45.38%
Draw
27.70%
Away Win
26.92%
Over / Under 2.5
Over 2.5
46.64%
Under 2.5
53.36%
Both to score (BTTS)
Yes
50.7%
No
49.3%
Asian Handicap Probability
?
Probabilities are calculated from the Poisson score model.
Push applies to whole-number Asian handicap lines.
Home Handicap
| Line | Home Side | Push | Away Side |
|---|---|---|---|
| -2.0 | 8.74% 11.44 | 13.79% 7.25 | 77.47% 1.29 |
| -1.5 | 22.53% 4.44 | — | 77.47% 1.29 |
| -1.0 | 22.53% 4.44 | 23.32% 4.29 | 54.15% 1.85 |
| -0.5 | 45.85% 2.18 | — | 54.15% 1.85 |
| 0 (PK) | 45.85% 2.18 | 26.17% 3.82 | 27.98% 3.57 |
| +0.5 | 72.02% 1.39 | — | 27.98% 3.57 |
| +1.0 | 72.02% 1.39 | 17.25% 5.8 | 10.73% 9.32 |
| +1.5 | 89.27% 1.12 | — | 10.73% 9.32 |
| +2.0 | 89.27% 1.12 | 7.55% 13.25 | 3.18% 31.45 |
HOW THE MODEL WORKS
Poisson Distribution
xG Input
Adjustments
Probability Output
All values use the Poisson PMF (Wikipedia, EN).
Limits of the Poisson model
Strong model, with caveats:
- Independent goals = simplifying assumption
- Red cards and game state shifts are not in the model
- Very low/high xG can skew accuracy
SHARE THIS TOOL
How to use the Poisson calculator
- Enter the home xG
- Enter the away xG
- Click Calculate (or use live update)
- Review Correct Score probabilities/fair odds plus match outcome distributions
For anyone doing data-led football work.
Why Poisson helps xG models
xG tracks chance quality, not just past goals.
Benefits such as
- Less noise from finishing luck
- Matches predictions to underlying xG/quality
- Fair-odds from clean probabilities
- Spot model vs book value
Poisson is a staple in football AI / ML stacks.
Frequently asked questions (FAQ)
It models score odds from your xG inputs for the match and markets.
Good for goal counts; pair with xG + form/situational context for best use.
Yes: derive fair prob/odds, compare to books for value-hunting (not a tip service).
Use your best pre-kickoff xG read (team strength, form, opponent) — the tool is agnostic to the source
Yes. Your xG inputs fill the scoreline grid, each line with a probability, same model as 1X2 & BTTS.
Chance each team scores 1+ . Yes/No from the same xG-Poisson as the correct-score view.